Answer:
The most that they can spend in food is $239
Step-by-step explanation:
Their budget allows for less than $720 for both food and rent.
We are told that this budget allows
twice as much money for rent as
for food.
Thus,
Let x be amount of spent on food.
Thus, money spent on rent is 2x
Thus,
2x + x < 720
3x < 720
x < 720/3
x < 240
Since x should be less than 240,it means that the most that they can spend in food is $239
The longest leg of a right triangle is 12 feet and another side is 5 feet. Find the length of the remaining side.
Answer:
10.98 (approximately)
if you wan the exact answer, type into the google search bar:
"sqrt 119"
Step-by-step explanation:
in a right triangle, the longest leg is called the hypotenuse. To find the missing side, you need to use the Pythagorean theorem.
"a^2+b^2=c^2"
c = the hypotenuse
a and be are the other legs.
plug in the numbers.
5^2+b^2 = 12^2
25 + b^2 = 144
b^2 = 119
b = 10.98 (approximately)
Use the Distributive Property to Expand the Expression
1) 8 ( b + 5 )
Answer:
8b + 40
Step-by-step explanation:
8( b + 5 )
8×b + 8×5
8b+40
a family wants to rent a car to go on vacation Company A charges $30.50 and 11 cent per mile. Company B charges $60.50 and 12 cent H ow much more does Company B charge for x miles than Company A PLZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE I WILLLLLL RATEEEE BRAINEST
Answer:
$30 and 1 cent more
Step-by-step explanation:
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
I hope this helped, please mark Brainliest, thank you !!
Solve the system of equation 0.4x – 3y = 7
3x + 14y = 10 using Cramer's Rule.
Answer:
for 0.4x – 3y = 7
Step-by-step explanation:
The answer is Changes made to your input should not affect the solution:
(1): "0.4" was replaced by "(4/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(4/10)*x-3*y-(7)=0
STEP
1
:
2
Simplify —
5
Equation at the end of step
1
:
2
((— • x) - 3y) - 7 = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
3y 3y • 5
3y = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x - (3y • 5) 2x - 15y
————————————— = ————————
5 5
Equation at the end of step
2
:
(2x - 15y)
—————————— - 7 = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
7 7 • 5
7 = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(2x-15y) - (7 • 5) 2x - 15y - 35
—————————————————— = —————————————
5 5
Equation at the end of step
3
:
2x - 15y - 35
————————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2x-15y-35
————————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2x-15y-35 = 0
Equation of a Straight Line
4.2 Solve 2x-15y-35 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x-15y-35 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333
y-intercept = 35/-15 = 7/-3 = -2.33333
Calculate the X-Intercept :
When y = 0 the value of x is 35/2 Our line therefore "cuts" the x axis at x=17.50000
x-intercept = 35/2 = 17.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.333 and for x=2.000, the value of y is -2.067. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.067 - (-2.333) = 0.267 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.267/2.000 = 0.133
Geometric figure: Straight Line
Slope = 0.267/2.000 = 0.133
x-intercept = 35/2 = 17.50000
y-intercept = 35/-15 = 7/-3 = -2.33333
Write an equation of a line perpendicular to y=-4x+9 that has a y-intercept of 7.
Use y=mx=b
Answer:
9
Step-by-step explanation:
easy
4. What are the different types of auto insurance
plans?
Answer:
auto liability coverage, uninsured and underinsured motorist coverage, comprehensive coverage, collision coverage, medical payments coverage and personal injury protection
Step-by-step explanation:
Sarah tosses a coin and spins a spinner
Answer:
Good for her ig
Step-by-step explanation:
1+1 then divide by 8
Answer:
0.25
Step-by-step explanation:
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
8cm and 9cm
Step-by-step explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, D is greater than 13 and is the correct answer.
D: 8 + 8 = 16.
What is the y intercept? 7x+y=10
Answer:
the y intercept is y
Step-by-step explanation:
because we have the variable already/////
How did Dana's profit change? Complete
the sentence.
Dana's profit ?
by $14 from
Saturday to Sunday.
Answer:increasing
Step-by-step explanation:
Answer:
Increased I did the Quiz Pratice: Adding and Subtrating Integers- Quiz-Level G
Step-by-step explanation: LOL I knew the lesson
what is the number of 25% of 32
Answer:
The answer is 8.
Step-by-step explanation:
hope that helps
Kenny went golfing with his dad. Kenny had a score of -2 and his dad had a score of +8. How many more shots did Kenny’s dad take?
Answer:
4! am i right or am i right Owo
Step-by-step explanation:
I ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?
WILL MARK BRAINLIEST!!!
Here it is:
Distributive Property
During a snowstorm, the temperature drops from 0°F to -12°F in 3 hours. On
average, by how many degrees is the temperature changing per hour?
Answer:D.
-4°F
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
d
How does Indian reservation have an effect on the Right of Occupancy
please answer like this:
the indian reservation has an effect on the right of occupancy by....
then add your answer:)
Step-by-step explanation:
hope it was helpful....
Please write the asnwerr belowww
Answer:
The original length of the new candle is 10 inches
Step-by-step explanation:
The form of the linear function is y = m x + b, where
m is the slope of the lineb is the y-intercept value y at x = 0∵ L represents the length of the candle remeaning unburned in inches
∵ t represents the time after the candle was lit in hours
∵ The relationship between L and t is linear
→ Put it in the form of the equation above
∴ L = m t + b, where b is the original length of the new candle
→ Use the table to find m
∵ m = [tex]\frac{L2-L1}{t2-t1}[/tex]
∵ (1, 9) and (6, 4) are two points in the given table
∴ t1 = 1 and L1 = 9
∴ t2 = 6 and L2 = 4
→ Substitute them in the rule of m above
∵ m = [tex]\frac{4-9}{6-1}[/tex] = [tex]\frac{-5}{5}[/tex] = -1
∴ m = -1
→ Substitute it in the equation above
∵ L = -1(t) + b
∴ L = -t + b
→ To find b substitute t by 1 and L by 9
∵ 9 = -(1) + b
∴ 9 = -1 + b
→ Add 1 to both sides
∵ 9 + 1 = -1 + 1 + b
∴ 10 = b
∵ b is the original length of the new candle
∴ The original length of the new candle is 10 inches
please help asap i just need the relationship and measure of x
Answer:
if it asking for the type of angle the both are obtuse and the fisrt measure is 135 and the second is 101
Step-by-step explanation:
The relation between 135 and x is corresponding angles.
The value of x is 135 degree.
because the corresponding angles are equal.
What type of solution is "x=0" (one solution, no solution, infinite solutions)? Explain.
It is a no solution equation
Mark and Nora both work at the same pet store. The inequality y less than or equal too 2x relates x, the number of hours Mark works each week, and y, the number of hours that Nora works. Which ordered pair must be included in the solution set of the inequality when interpreted in the context of the problem? please help
(–7, 20)
(0, 0)
(8, 2)
(13, –28)
Answer:
y≤2x
Step-by-step explanation:
answer in comments
QUESTION #1
Write the rule to
describe the rotation.
Answer:Hope it helps.
Step-by-step explanation:
Rotation 90 degrees clockwise.
180 degrees would be half way turned and clock wise starts at 12 and goes to 1-12. Counter would go 12-11-10. Think of it as a clock. Tried my best. GL
this is my home work plese help
Answer: 345 dollars a week
Step-by-step explanation:
Answer:
345.63
Step-by-step explanation:
39.5*8.75=345.625
345.625=345.63
Oil is pumped into a tank at a rate of Q(t)=45-t gallons per minute where time is t is measured in minutes how many gallons are in the tank after 30 minutes
Answer:
15 gallons
Step-by-step explanation:
Given that:
Pumping rate is modeled by the equation :
Q(t)=45-t gallons per minute ; where t is in minutes
Number of gallons in tank after 30 minutes ;
Q(t)=45-t
Q(30) = 45 - 30
Q(30) = 15
Hence, Number of gallons in tank after 30 minutes is 15 gallons
What is the equation of a line that has a slope of 2 and passes through point (-6, 3)?
Step-by-step explanation:
m= 2
x1 = -6
y1 = 3
Applying the formula,
y-y1 = m(x-x1);
we have,
y - 3 = 2(x -(-6))
y- 3 = 2(x + 6)
y - 3 = 2x + 12
y -2x -3 -12 = 0
y -2x -15 = 0
Therefore the equation of the line is;
2x - y + 15 = 0
David's bowling score is 6 less than 2 times Aaron's score. The sum of their scores is 84. Find the score of each student. Use the variable a for Aaron's score.
Answer:
Aaron's bowling score is 30
David's bowling score is 54
Step-by-step explanation:
The variable representing Aaron's score is = a
The variable representing David's bowling score = d
The sum of their scores is 84.
= a + d = 84...... Equation 1
David's bowling score is 6 less than 2 times Aaron's score.
d = 2a - 6
Substituting 2a - 6 for d in Equation 1
a + 2a - 6 = 84
3a - 6 = 84
3a = 84 + 6
3a = 90
a = 90/3
a = 30
Hence, Aaron's bowling score is 30
d = 2a - 6
d = 2(30) - 6
d = 60 - 6
d = 54
David's bowling score is 54
Find the variance of: 2 4 5 6 7 9 10
Answer:
s = 7.811 ¯ 6
Step-by-step explanation:
x = 2 + 4 + 5 + 6 + 7 + 9 + 10 /7
¯ x = 43 /7
s = ( 2 − 6.1 ) 2 + ( 4 − 6.1 ) 2 + ( 5 − 6.1 ) 2 + ( 6 − 6.1 ) 2 + (7 − 6.1 ) 2 + ( 9 − 6.1 ) 2 + ( 10 − 6.1 ) 2/ 7 − 1
s = 7.811 ¯ 6Need help with this question please and thanks
Answer:
C
Step-by-step explanation:
Because C line has the straighest edge and it's the most consistent
11. Health. Sherri is considering joining a health club. To be a member of Roman's Gym, she would
have to pay a sign-up fee of $49.99 and then $25 per month. Another club, Athens Fitness
Center, charges less per month (only $18) but has a $126.99 sign-up fee. After how many
months of membership would the total paid to each club be the same?
It would take 11 months of membership for the total money paid to each club to be the same.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let x represent the number of months subscribed. Hence,
For Roman's gym:
Total payment = 25x + 49.99
For Athens Fitness:
Total payment = 18x + 126.99
For both clubs to have the same payment:
25x + 49.99 = 18x + 126.99
7x = 77
x = 11
It would take 11 months of membership for the total money paid to each club to be the same.
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
Find the equation of the linear function x 0 1 2 3 4 y -4 -2 0 2 4
Answer:
its counting down
Step-by-step explanation:
because it was in the positives and went down to the negatives
Please help me find the area
Answer:
[tex]8x^{2} +14x+6[/tex]
Step-by-step explanation:
The formula for the area of rectangle is length times width:
[tex](2x+2)(4x+3)\\[/tex]
Use FOIL method:
[tex]8x^{2} +6x+8x+6\\8x^{2} +4x+6[/tex]